What is the Greatest Common Factor of 42420 and 42434?

Greatest common factor (GCF) of 42420 and 42434 is 14.

GCF(42420,42434) = 14

We will now calculate the prime factors of 42420 and 42434, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42420 and 42434.

How to find the GCF of 42420 and 42434?

We will first find the prime factorization of 42420 and 42434. After we will calculate the factors of 42420 and 42434 and find the biggest common factor number .

Step-1: Prime Factorization of 42420

Prime factors of 42420 are 2, 3, 5, 7, 101. Prime factorization of 42420 in exponential form is:

42420 = 2² × 3¹ × 5¹ × 7¹ × 101¹

Step-2: Prime Factorization of 42434

Prime factors of 42434 are 2, 7, 433. Prime factorization of 42434 in exponential form is:

42434 = 2¹ × 7² × 433¹

Step-3: Factors of 42420

List of positive integer factors of 42420 that divides 42420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 101, 105, 140, 202, 210, 303, 404, 420, 505, 606, 707, 1010, 1212, 1414, 1515, 2020, 2121, 2828, 3030, 3535, 4242, 6060, 7070, 8484, 10605, 14140, 21210

Step-4: Factors of 42434

List of positive integer factors of 42434 that divides 42420 without a remainder.

1, 2, 7, 14, 49, 98, 433, 866, 3031, 6062, 21217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42420 and 42434. The biggest common factor number is the GCF number.
So the greatest common factor 42420 and 42434 is 14.

Also check out the Least Common Multiple of 42420 and 42434